Meron-Cluster Simulation of a Chiral Phase Transition with Staggered Fermions

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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21 pages, 6 figures

Scientific paper

10.1016/S0550-3213(00)00087-0

We examine a (3+1)-dimensional model of staggered lattice fermions with a four-fermion interaction and Z(2) chiral symmetry using the Hamiltonian formulation. This model cannot be simulated with standard fermion algorithms because those suffer from a very severe sign problem. We use a new fermion simulation technique - the meron-cluster algorithm - which solves the sign problem and leads to high-precision numerical data. We investigate the finite temperature chiral phase transition and verify that it is in the universality class of the 3-d Ising model using finite-size scaling.

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